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Finding the Third Proportional to 340,859.50 and 734,045

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Solution

The third proportional to 340,859.50 and 734,045 is: 1,580,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,859.50 : 734,045 = 734,045 : x
  2. Step 2: Convert to fraction form
    340,859.50/734,045 = 734,045/x
  3. Step 3: Cross multiply
    340,859.50x = 734,045 × 734,045
  4. Step 4: Simplify right side
    340,859.50x = 538,822,062,025
  5. Step 5: Solve for x
    x = 538,822,062,025/340,859.50
  6. Step 6: Final answer
    x = 1,580,774.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.